Solve 6(154f+903)-225fgeq355+697f

$$6 ( 154 f + 903 ) - 225 f \geq 355 + 697 f$$

Solve for f

$$f\geq -\frac{5063}{2}$$

Solution Steps

Use the distributive property to multiply 6 by 154f+903.

$$924f+5418-225f\geq 355+697f$$

Combine 924f and -225f to get 699f.

$$699f+5418\geq 355+697f$$

Subtract 697f from both sides.

$$699f+5418-697f\geq 355$$

Combine 699f and -697f to get 2f.

$$2f+5418\geq 355$$

Subtract 5418 from both sides.

$$2f\geq 355-5418$$

Subtract 5418 from 355 to get -5063.

$$2f\geq -5063$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$f\geq -\frac{5063}{2}$$